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CBSE Class 12-science Answered

Integration tan-1 (2x/ 1 – x2) dx explain in great detail
Asked by haroonrashidgkp | 22 Oct, 2018, 05:33: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral tan to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x over denominator 1 minus straight x squared end fraction close parentheses dx
straight x equals tanθ rightwards double arrow straight theta equals tan to the power of negative 1 end exponent straight x
dx equals sec squared θdθ
straight I equals integral tan to the power of negative 1 end exponent open parentheses fraction numerator 2 tanθ over denominator 1 minus tan squared straight theta end fraction close parentheses sec squared θdθ
straight I equals integral tan to the power of negative 1 end exponent open parentheses tan 2 straight theta close parentheses sec squared θdθ
straight I equals integral 2 θsec squared θdθ
Use space integration space by space parts space to space solve space it space further. end style
Answered by Sneha shidid | 22 Oct, 2018, 06:05: PM
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